Write the partial fraction decomposition of the rational expression.
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Question

Quizplus · Accepted Answer

Since there is no numerator in the rational expression, the denominator would be factored into linear factors (i.e. factors with degree of 1). Without the actual expression given, it is impossible to determine the specific linear factors, but the partial fraction decomposition would look like:

$$\frac{P(x)}{(ax+b)(cx+d)}=\frac{A}{ax+b}+\frac{B}{cx+d}$$

where A and B are constants that are found by solving a system of equations. Choice A is the only one with a different set of letters for the numerator coefficients, but all of the answer choices follow the same format for the denominator factors.

Write the Partial Fraction Decomposition of the Rational Expression